Optimization of Two-Stage Cylindrical Gear Reducer with Adaptive Boundary Constraints

An optimization mathematical model for designing two-stage cylindrical gear reducer is firstly constructed based upon the drive principles and design criteria of cylindrical gear transmission. Then some techniques for calculating the key performance parameters, such as profile factor and dynamic load coefficient, etc., and revising the corresponding boundary constraints dynamically during the optimization process are researched and implemented. Finally, dedicated interactive optimization design software is developed based on VC++/MATLAB mixed programming. Compared with the conventional optimization methods with fixed performance parameter, the proposed method can accurately calculate all the key parameters and revise the corresponding constraint functions adaptively in each iteration step. Optimization examples illustrate that the proposed gear optimization method is more effective and reasonable.